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Please read all directions carefully with an adult before beginning this
test. ESTIMATED TIME: Please allow approximately 90 minutes for this
assessment. Be sure you have time to complete the entire test in one session; a partially
completed testing session cannot be
saved. ____________________________________________________________________________________________
This
is an assessment of the 6th grade Common Core math skills and concepts taught in our CC 6
course. The assessment is to be completed INDIVIDUALLY by the student, with no
assistance from other people or resources such as notes, books, or the internet. STUDENT
INFO: In the boxes at the top of this screen, enter the student’s first and last name
and a valid parent email address. (The ID # field can be left blank.) MATERIALS
NEEDED: pencil, scratch paper, graph paper CALCULATORS are NOT permitted for
this assessment. QUESTION TYPES: This test has several different types of
questions.
MULTIPLE CHOICE: Select one correct answer
from the choices. MULTIPLE RESPONSE: Select ALL correct answers from the
choices. There may be more than one correct response. You must identify ALL correct
answers to earn the point. TRUE/FALSE or YES/NO: Select the best
response. NUMERICAL RESPONSE: Type the correct answer into the blank box that appears
below the item. Do not enter units; they have been provided for you.
IMPORTANT
NOTE FOR PARENTS: Once the test is completed and submitted, your student’s score will
be automatically sent to the district. You will also see a screen that gives your
student’s score. Please print out the score screen
or make a note of the score, as you will need to record the score on your student’s math
placement selection
form. ____________________________________________________________________________________________
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1.
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Evaluate
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2.
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Which expression represents “8 less than the product of 6 and a number
x”?
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3.
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Find the volume of a cube with side lengths of 0.5 inch. Give your
answer in decimal form:
_________ cubic inches
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4.
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Look at each pair of expressions given below. For each pair, decide
whether the two expressions are equivalent. Choose ALL pairs of expressions that
are equivalent.
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5.
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Look at each pair of expressions given below. For each pair, decide
whether the two expressions are equivalent. Choose ALL pairs of expressions that
are equivalent.
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6.
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A theme park has a log ride that can hold 12 people. For safety reasons,
there is a weight limit for each log. There are several groups of children waiting to ride.
Children at this park weigh 90 lbs on average. If 4 adults are already seated in the log, then
the following inequality represents how many children can safely ride while meeting the weight
limit: where C is the number of
children. Select all groups of children that can safely ride. (Choose
ALL that apply.)
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7.
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Select the equation(s) where is a solution. Choose
ALL that apply.
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8.
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Monique is playing a game called fizzbuzz. The rules are that she counts out
loud, but for multiples of a certain number she says “fizz”, and for multiples of another
type of number she says “buzz.” Determine the rules for saying “fizz” and
“buzz” if Monique counts in the following way:
“...fizz, 41, buzz, 43, fizz,
45, 46, 47, fizzbuzz, 49...”
A. | “Fizz” numbers are multiples of 2; “buzz” numbers are
multiples of 3 | B. | “Fizz” numbers are multiples of 2; “buzz” numbers are
multiples of 8 | C. | “Fizz” numbers are multiples of 4; “buzz” numbers are
multiples of 6 | D. | “Fizz” numbers are multiples of 4; “buzz” numbers are
mulitples of 3 |
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9.
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Sierra walks her dog Pepper twice a day. Her evening walk is two and a
half times as far as her morning walk. At the end of a full week she tells her mom,
“I walked Pepper for 30 miles this week!”
To the nearest tenth of a
mile, how long is Sierra’s morning walk?
ANSWER: __________
miles
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10.
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Find the solution to this equation:
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11.
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There are 25 cans of soup in a case. The manager of a grocery store needs
to order 325 cans of coup. Which equation can be used to find x, the total number of
cases the manager needs to order?
A. | | B. | | C. | | D. | None of the
above. |
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12.
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Identify which of the following statement(s) and/or number line(s) can be
represented by the inequality . Choose ALL that
apply.
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13.
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A ride at a theme park has a sign that says “You must be at least 52
inches tall to go on this ride.”
Let h represent the height (in inches) of
people at the theme park. Choose the inequality that describes all those who are tall enough to
go on the ride.
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Use this information and the table for problems #14-17.Stephanie
is helping her band collect money to fund a field trip. The band decided to sell boxes of
chocolate bars. Each bar sells for $1.50 and each box contains 20 bars. Below is a
partial table of monies collected for different numbers of boxes sold.
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14.
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Which equation represents the amount of money, m, that will be collected
if b boxes of chocolate bars are sold?
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15.
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Identify which is the dependent variable and which is the
independent variable.
A. | b is the dependent variable and m is the independent
variable | B. | m is the dependent variable and b is the independent
variable | C. | both b and m are dependent variables | D. | both b and
m are independent variables |
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16.
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Calculate how much money will be collected if 100 boxes of chocolate bars are
sold.
ANSWER: _____________ dollars
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17.
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The band collected $1,530.00 from chocolate bar sales. How many boxes did
they sell?
ANSWER: _____________ boxes
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18.
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Determine the area of the shaded figure (each square on the grid measures 1
square unit). ANSWER: __________ square
units
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19.
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What is the area of the isosceles trapezoid shown?
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20.
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A rectangular tank is 16 in wide, in long, and 22 in
high. It is filled with water, and the surface of the water is 4 inches below the top of the
tank. Find the volume of the water in the tank. ANSWER: _______ cubic inches
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21.
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The length of a rectangular parking lot at the airport is
mile. If the area is square mile, what is the width of the parking
lot?
A. | mile | B. |
mile | C. | mile | D. |
mile |
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22.
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Rosa ran of the way from her home to school. She
ran mile. How far is it between her home and
school? Record your answer in DECIMAL form. ANSWER: ______________
mile
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23.
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Jayden has $20.56. He buys an apple for 79 cents and a granola bar for
$1.76. How much money does Jayden have now?
ANSWER: $___________
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24.
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Juanita spent $24.50 on each of her 6 grandchildren at the fair. How much
money did Juanita spend?
ANSWER: $___________
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25.
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Helen spent an equal amount of money on each of her 7 grandchildren at the
fair. If she spent a total of $227.50, how much did she spend on each
grandchild?
ANSWER: $___________
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26.
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What is the greatest common factor of 48 and 64?
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27.
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What is the least common multiple of 8 and 12?
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28.
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On the same winter morning, the temperature is °F in
Anchorage, Alaska and °F in Miami, Florida. How many
degrees warmer was it in Miami than in Anchorage on that morning? ANSWER: ____________
degrees
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29.
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The coordinates of point V are (7, 4). Point W is a
reflection of point V across the x-axis. In which quadrant will point W be
located?
A. | Quadrant I | B. | Quadrant II | C. | Quadrant
III | D. | Quadrant IV |
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30.
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Which number best represents the location of point E on the number line
below?
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31.
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Which of the following represent the opposite of ?
Choose ALL that apply.
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32.
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For each of the following inequalities, select all the inequalities that
are TRUE. (Choose ALL that apply.)
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33.
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These thermometers show the temperature in Albany, NY and Flint, MI one
morning. Mike wrote an inequality comparing the
temperatures in the two cities. Is Mike’s inequality TRUE
or FALSE?
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34.
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The coordinates of point A are (–6, 4). The coordinates of
point B are (3, 4). Which expression represents the distance, in units, between points
A and B?
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35.
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Point G is the point (3, –1). Which point is 5 units from
point G?
A. | point A | B. | point B | C. | point
C | D. | point D |
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36.
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A mixture of concrete is made up of sand and cement in a ratio of 5:3. How
many cubic feet of cement is needed to make 160 cubic feet of the concrete
mixture?
ANSWER: _____________ cubic feet of cement
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37.
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Ty took the escalator to the second floor. The escalator is 12 meters
long, and he rode the escalator for 30 seconds. Which statements are true? Choose
ALL that apply.
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Use this information for problems
#38-41
Lin rode a bike 20 miles in 150 minutes. Assume she rode at a constant
speed.
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38.
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How far did Lin ride in 15 minutes?
ANSWER: _________
miles
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39.
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How long did it take Lin to ride 6 miles?
ANSWER: _________
minutes
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40.
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How fast did Lin ride in miles per hour?
ANSWER: _________
miles per hour
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41.
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What was Lin’s pace in minutes per mile?
ANSWER:
_________ minutes per mile
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42.
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The table below shows the number of tea bags needed to make different amounts of
iced tea. What is the total number of quarts of iced
tea that can be made with 24 tea bags?
A. | 5 quarts | B. | 6 quarts | C. | 7
quarts | D. | 8 quarts |
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43.
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Selena bought a shirt on sale that was 20% less than the original price.
The original price was $5 more than the sale price. What was the original price of the
shirt?
ANSWER: $______________
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44.
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Lissie set a goal to save $320 for a new computer. So far she has saved
$112. What percent of her goal has Lissie saved so far?
ANSWER: __________
percent
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45.
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Kendall bought a vase that was priced at $450. In addition she had to pay
3% sales tax. How much did she pay in total?
ANSWER: $____________
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46.
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Jada has a rectangular board that is 60 inches long and 48 inches wide.
Jada said, “To convert inches to feet, I should divide by 12. The board has an
area of . If I divide the area by 12, I can find
out the area in square feet. So the area of the board is 2880 divided by 12, or 240 square
feet.” Do you agree with Jada’s reasoning? Choose YES or
NO.
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47.
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The land that Dana is buying for her new house is 35 yards by 50
yards. How many SQUARE FEET of land is Dana
buying?
ANSWER: __________ square feet
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Use this information and the dot plots for
problem #48.
The two dot plots show the 6-trait writing scores for a group of students on
two different traits—ORGANIZATION and IDEAS.
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48.
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Identify the statements below that accurately describe the data shown in the dot
plots above. Choose ALL that apply.
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Use this information for questions #49 and #50.
The areas, in
square kilometers, of ten countries in South America are shown in the table. The data is also summarized in the box plot.
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49.
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Which measure of center is best to use when describing this data?
A. | mean | B. | median | C. | mode | D. | range |
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50.
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Which of these values best represents the approximate inter-quartile range
(IQR)?
A. | 500,000 sq km | B. | 750,000 sq km | C. | 1,000,000 sq
km | D. | 8,500,000 sq km |
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